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Brums [2.3K]
2 years ago
8

Find the sixth term of the geometric sequence 5, -15, 45, ...

Mathematics
1 answer:
ad-work [718]2 years ago
4 0

Answer:

-1215

Step-by-step explanation:

you muiltpy by -3 every time

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#1) What is the measure of ∠TVU, and why?
mrs_skeptik [129]

1) Answer: A

because trangles RST is similar  to VUT as:

<RST=<VUT=55 (Angle)

<RTS=<VTU=90 (it seems right angled)  Angle

So by AA similarity...(two angles similarity is enough)

2) Answer:B

y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.

3) Answer: A should be right choice. Step 1 is wrong here which is,

m<m + m<n + m<p=180 (wrong)

It should be:

m<m + m<n + m<0=180 (right)




3 0
3 years ago
What is the solution to the system of equations below?<br> -20 + y = 2<br> 20 + 3y = 6
steposvetlana [31]
-20 + y = 2
y = 22

20 + 3y = 6
y = 14/3
4 0
2 years ago
Stefanie spends entire allowance one month she spends 1/2 of a on new clothes 1/4 on food 1/6 on movies and 1/12 on Music how mu
Komok [63]

Answer:

Option D: 1/3

Step-by-step explanation:

Let

x ------> the entire Stefanie's allowance

we know that

She spends on clothes (1/2)x

She spends on movies (1/6)x

To find out how much more does she spend on clothes that he does on movies, subtract the amount she spends on movies from the amount she spend on clothes

\frac{1}{2}x-\frac{1}{6}x=\frac{2}{6}x

Simplify

\frac{1}{3}x

therefore

She spends 1/3 more on clothes that he does on movies

4 0
2 years ago
Help answer 16 don’t mind the writing just help answer the problem
beks73 [17]

Answer:

6 weeks.

Step-by-step explanation:

Im gonna explain it anyway.

324 divided by 54 is 6. so it will take 6 weeks.

5 0
3 years ago
Read 2 more answers
Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y
Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x     4 6 8 10

y     7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x     4   6   8   10

y     12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x     4   6   8   10

y     1    3    5    7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x     4   6   8   10

y     3   3   3    3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

8 0
2 years ago
Read 2 more answers
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